What 2 square numbers subtract to make 1007?

What two square numbers subtract to make 1007? In other words, when you subtract one square number from another square number, the answer is 1007. What are the two square numbers?

First, note that a square number is what you get when you multiply a number by itself, which means that the square root of a square number will equal a whole number. Thus, this is what we are solving:

A² - B² = 1007

We solved the equation above and found this to be true:

36² - 17² = 1007

36² is 1296 and 17² is 289, therefore the answer to the question "What 2 square numbers subtract to make 1007?" is 1296 and 289 as illustrated below:

1296 - 289 = 1007

Note that there may be more than one solution to a problem like this. Above, we found the lowest combination of square numbers that subtract to 1007. Below we list alternate solutions if available.

254016 - 253009 = 1007

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